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Simplifying 7(p + 2) = 3p + 38 Reorder the terms: 7(2 + p) = 3p + 38 (2 * 7 + p * 7) = 3p + 38 (14 + 7p) = 3p + 38 Reorder the terms: 14 + 7p = 38 + 3p Solving 14 + 7p = 38 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 14 + 7p + -3p = 38 + 3p + -3p Combine like terms: 7p + -3p = 4p 14 + 4p = 38 + 3p + -3p Combine like terms: 3p + -3p = 0 14 + 4p = 38 + 0 14 + 4p = 38 Add '-14' to each side of the equation. 14 + -14 + 4p = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 4p = 38 + -14 4p = 38 + -14 Combine like terms: 38 + -14 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6
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